Finding the Third Proportional to 99,933.75 and 214,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,933.75 : 214,690.50 = 214,690.50 : x
2. Step 2: Convert to fraction form
   99,933.75/214,690.50 = 214,690.50/x
3. Step 3: Cross multiply
   99,933.75x = 214,690.50 × 214,690.50
4. Step 4: Simplify right side
   99,933.75x = 46,092,010,790.25
5. Step 5: Solve for x
   x = 46,092,010,790.25/99,933.75
6. Step 6: Final answer
   x = 461,225.67